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20145554000 = 2453111370439
BaseRepresentation
bin10010110000110001…
…001100001001010000
31220222222102011210122
4102300301030021100
5312224230212000
613131005045412
71312140245405
oct226061141120
956888364718
1020145554000
1185a8704990
123aa2856868
131b908aac70
14d917742ac
157cd91d085
hex4b0c4c250

20145554000 has 160 divisors (see below), whose sum is σ = 57228837120. Its totient is φ = 6762048000.

The previous prime is 20145553993. The next prime is 20145554017. The reversal of 20145554000 is 45554102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250781 + ... + 321219.

It is an arithmetic number, because the mean of its divisors is an integer number (357680232).

Almost surely, 220145554000 is an apocalyptic number.

20145554000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28614418560).

20145554000 is an abundant number, since it is smaller than the sum of its proper divisors (37083283120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20145554000 is a wasteful number, since it uses less digits than its factorization.

20145554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70486 (or 70470 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 20145554000 in words is "twenty billion, one hundred forty-five million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 17875 22000 26000 28600 35750 57200 70439 71500 140878 143000 281756 286000 352195 563512 704390 774829 915707 1127024 1408780 1549658 1760975 1831414 2817560 3099316 3521950 3662828 3874145 4578535 5635120 6198632 7043900 7325656 7748290 8804875 9157070 10072777 12397264 14087800 14651312 15496580 17609750 18314140 19370725 20145554 22892675 28175600 30993160 35219500 36628280 38741450 40291108 45785350 50363885 61986320 70439000 73256560 77482900 80582216 91570700 96853625 100727770 114463375 140878000 154965800 161164432 183141400 193707250 201455540 228926750 251819425 309931600 366282800 387414500 402911080 457853500 503638850 774829000 805822160 915707000 1007277700 1259097125 1549658000 1831414000 2014555400 2518194250 4029110800 5036388500 10072777000 20145554000